The scale of 1 inch equals 30 feet (1":30') is equivalent to a representative fraction of 1:360.
Here's how to convert the scale:
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Understanding the problem: The scale 1":30' means that 1 inch on a drawing or map represents 30 feet in the real world. To express this as a ratio (1:X), we need to convert both sides of the ratio to the same units. Inches are generally used.
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Conversion: Since there are 12 inches in a foot, 30 feet is equal to 30 * 12 = 360 inches.
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Result: Therefore, 1 inch equals 360 inches, which is expressed as a 1:360 scale. This means the real-world object is 360 times larger than its representation on the map or drawing.
